Answer:
The y value achieves its minimum at x = 4/3Step-by-step explanation:
Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.
At the turning point, dy/dx = 0
Given y = 3x² - 8x + 7
[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]
[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]
The y value achieves its minimum at x = 4/3
A ball is being inflated at a rate that can be modeled by the function V(t) = 10t, where t is the number of seconds spent inflating the ball. The radius at a given volume can be modeled by the function r(V)=^3√3V/4pi.
Which composite function can be used to determine the radius of the ball depending on the number of seconds spent inflating the ball?
Answer:
Correct option: second one
Step-by-step explanation:
To find the composite function r(V(t)) (radius of the ball in relation to time being inflated), we just need to use the value of the equation V(t) in each value of V in the function r(V).
[tex]V(t) = 10t[/tex]
[tex]r(V)=\sqrt[3]{3V/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{3V(t)/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{3*10t/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{30t/4\pi}[/tex]
Correct option: second one
Answer:BBBBBBBBB
Step-by-step explanation:
5.
Solve the equation.
(4x+10)^1/4 = (9+7x)^1/4
Answer:
1/3
Step-by-step explanation:
[tex]\sqrt[4]{4x+10}[/tex] = 4x+10 ^1/4
[tex]\sqrt[4]{9+7x}[/tex]= 9+7x^1/4
Since they are under the same root, you can combine them under the root.
Then you change the +/- sign of one side of the equation to move to the other side of the equation.
To get....[tex]\sqrt[4]{-3x+1}[/tex]=0
^4 both sides to get..
-3x+1=0
Move 1 to the other side...
-3x=-1
divide both sides by -3
x=1/3
The bar graph shows the results of rolling a number cube (a die) 50 times. What is the probability of rolling an odd number? How does this compare with the theoretical probability of rolling an odd number?
Experimental Probability. Theoretical Probability
P(odd) = % P(odd) = %
Answer:
[tex]\fbox{\begin{minipage}{12em}52 percent and 50 percent \end{minipage}}[/tex]
Step-by-step explanation:
Given (as shown in graph):
The results of rolling a number cube (a die) 50 times.
Rolling 1: 10 times
Rolling 2: 4 times
Rolling 3: 8 times
Rolling 4: 11 times
Rolling 5: 8 times
Rolling 6: 9 times
Solve for:
The probability of rolling an odd number (1, 3, 5).
Solution:
Step 1: Define the formula for calculating the probability
P = number of elements/total number of elements
Step 2: Perform the calculation
1) Theoretically, a fair die of 6 sides would give the equal chance to obtain 1, 2, 3, 4, 5, 6.
According to the formula in step 1, the number of elements in both cases are the same (odd: 1, 3, 5 => 3 elements, even: 2, 4, 6 => 3 elements, the total element is 1, 2, 3, 4, 5, 6 => 6 elements).
=> P(obtain odd number theoretically) = P(obtain even number theoretically) = 50%
2) Experimentally, apply the formula in step 1, we have:
The number of elements = Times of rolling 1 + Times of rolling 3 + Time of rolling 5 = 10 + 8 + 8 = 26
The total number of rolling: 50
=> P(obtain odd number in experiment) = 26/50 = 0.52 = 52%
Hope this helps!
:)
Answer:
^ That is correct guys
Step-by-step explanation:
GOOD LUCK
please help...................
Answer:
A, C, D, E
Step-by-step explanation:
sqrt(1.8)=1.34<1.8 (true)
sqrt(1.8)=1.34>1 (false)
sqrt(1.8)=1.34, sqrt(1.9)=1.38, 1.34<1.38 (true)
1.3<sqrt(1.8)=1.34<1.4 (true)
sqrt(1.9)+sqrt(1.8)=2.7>2 (true)
sqrt(1.9)-sqrt(1.8)=0.04>0.1 (false)
Answer:
a c d e
Step-by-step explanation:
don't come for me if it's wrong
A standard die is rolled. Find the probability that the number rolled is less than 4. Express your answer as a fraction in lowest terms or a
decimal rounded to the nearest millionth
Answer:
1/2
Step-by-step explanation:
The results of the roll can be
1,2,3,4,5,6
The rolls that are less than 4 are 1,2,3
P( less than 4) = number of rolls less than 4 / total
= 3/6
=1/2
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
1/5 = 0.2
Step-by-step explanation:
(0,3) and (5,4)
average rate of change is slope
formula for slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
so [tex]\frac{4-3}{5-0} = \frac{1}{5}[/tex]
A gardener made a scale drawing of a lawn with a scale factor of 1:10. The
dimensions of her drawing are 7 inches long by 3 inches wide. Her partner plans
to make another scale drawing of the lawn, but with a scale factor of 1:2.
What are the dimensions of her scale drawing?
5 of 16 QUESTIONS
The length is 0.6 inch and the width is 1.4 inches.
The length is 15 inches and the width is 35 inches.
The length is 35 inches and the width is 15 inches.
The length is 1.4 inches and the width is 0.6 inch
SUB
Answer:
The length is 35 inches and the width is 15 inches.
Step-by-step explanation:
First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.
Now, we have to divide this in the ratio 1:2, which gives
The length of 35 inches and the width of 15 inches.
Hope this helps
Answer:
Your answer is 3 or C.. 35 inches and width of 15 :)
Step-by-step explanation:
I will mark you brainliest!!! Select the answer that includes the correct explanation.
Answer:
Linear. The choice A is correct.
Step-by-step explanation:
(6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)=
Answer:
Step-by-step explanation:
6m^5-2m^3-m^3-4m+4m+3-6
7m^5-3m^3-3
Answer:
[tex]7m^5-3m^3-3[/tex]
Step-by-step explanation:
[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)= \\\\(6m^5+m^5)+(-m^3-2m^3)+(-4m+4m)+3-6= \\\\7m^5-3m^3-3[/tex]
Hope this helps!
Find the midpoint of the segment with the given endpoints.
(-1,-1) and (10,4)
[tex]answer \\ = (4.5 , 1.5) \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
Find the area of the figure
Answer:
Step-by-step explanation:
170. LxW=A
20x8.5=170
Answer:
360 cm^2
Step-by-step explanation:
If you move the triangle to the right, you can see it fits perfectly into the right side of the parallelogram. Therefore, we have a rectangle, with width 20 and height 18. 18x20=360.
What is the equation of a circle with radius, r = V14, and the center at (- 10. 8)
Answer:
can i get choices?
Step-by-step explanation:
somebody help me please i will mark you the brainliest
Answer:
I guess it's the 3rd one as well
James is following this recipe to make flapjacks.
James uses 450 g of sugar.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
125 ml syrup
90 g sugar
180 g oats
125 g margarine
30 g sultanas
Answer:
40
Step-by-step explanation:
90/8=11.25 (1 flapjack)
11.25x40=450
2,7, 12, 17, 22, 27, 32, 37, ...
f(1) =
Common Difference:
Explicit Rule:
Answer:
Common difference=5.
The perimeter of the given triangle is
Answer:
~73.68
Step-by-step explanation:
In the right triangle with one angle = 45 deg
=> Isosceles right triangle
=> a = b = hypotenuse/sqrt(2) = (12sqrt(2))/sqrt(2) = 12
In other right triangle with 3 sides are a, c, and d, we have:
sin (30 deg) = a/d
=> d = a/sin(30 deg) = 12/(1/2) = 12 x 2 = 24
Othwise, cosine (30 deg) = c/d
=> c = d x cos(30 deg) = 24 x sqrt(3)/2 = 12sqrt(3)
=> The perimeter of the biggest triangle is calculated by:
P = 12sqrt(2) + b + c + d = 12sqrt(2) + 12 + 12sqrt(3) + 24 = ~73.68
Hope this helps!
At gameplay you can buy a Xbox one for $150 and each game to go with it would cost $24 or you can buy a PlayStation 4 for $180 and each game for $20. Write an equation to determine how many games would need to be purchased for the cost to be equal
Answer:
it depends how many games you want. If you want 1 game for the xbox then its $174 but if you want a ps4 with a game then its $200. I would go with the xbox.
5 times a number is 14 less than the square of that number. find the negative solution.
Answer: The negative solution is -2
Step-by-step explanation:
[tex]5x+14=x^2\\x^2-5x-14=0\\\\(x-7)(x+2)=0\\x_1=7\\x_2=-2[/tex]
Triangle FGH is equilateral. The midpoints of the sides are connected to form triangle XYZ. Line segment XY is parallel to line segment FH.
Triangle F G H is an equilateral triangle. Equilateral triangle X Y Z is inside of triangle F G H and the points are the midpoints of triangle F G H.
What type of figure is quadrilateral FXYH?
Answer:
Isosceles trapezoid
Step-by-step explanation:
The figure will look like one large triangle on the outside and four smaller triangles on the inside. you are only concerned with the inside triangle that is pointing to the line FH. Since XY and FH are parallel and the distance between FX and YH are equivalent (the midpoints of each side should be the same for all three sides of the larger triangle) the shape FXYH is an isosceles trapezoid.
Answer:
trapezoid
Step-by-step explanation:
An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
Answer:
$713.8
Step-by-step explanation:
14%of 860 = 120.4
3% of 860 = 25.8
so, subtract the sum of the above 2 values from 860.
860 - (120.4+25.8) = 860-146.2 = 713.8
Hope this helps
Answer:
$713.008
Step-by-step explanation:
Mr Hassan gave his Y7 class a test on Friday. Can anyone answer C correctly?
Answer:
you are assuming that everyone in the class took the test. 33 people took the test but there could be more in the class but they were just not there for the test.
the area of a right angled triangle is 600cm^.if base of the base of the exceeds the altitude by 10,find the dimensions of the triangle
Answer:
b => base => 40 cm
h => altitude => 30 cm
A = h*b/2
h=b-10
600=(b-10)b/2
600 = (b^2-10b)/2
1200=b^2-10b
b^2-10b-1200=0
(b-40)(b+30)=0
b=40 cm
h=b-10 = 40-10=30
Points (-1,2), (-4,7), (-3,1), (-2,4) lie in ______ quadrant
Answer:
2 quadrant
Step-by-step explanation:
i think
Answer:
Quadrant 2...
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
-5
-2
Ο Ο Ο Ο
2
5
Answer:
At x = -2 the graph of this polynomial will touch the x-axis.
Step-by-step explanation:
Recall the behavior difference between power functions of even and odd power. Odd powers are associated with the crossing of the x-axis, while even powers are associated with "touching" of the x axis.
in this cases, since they give you the function in factor form, the actual roots (x-values where the function adopts value zero) of the function are evident :
[tex]f(x)=(x-5)^3\, (x+2)^2[/tex]
It has a root at x = 5 [notice that at such x-value the factor (x-5) becomes zero], and this root is of multiplicity "3" (given by the power associated with the binomial factor for this root)
and has another root at x = -2 [notice that at such x-value the factor (x+2) becomes zero], and this root is of multiplicity "2" (given by the power associated with the binomial factor for it)
It is just the second root analyzed the one that shows an even power (2) associated to its binomial factor, and therefore it is at x= -2 that the graph of this function will show as "touching" the x axis.
Corey and David both have lots of video games. The number of games Corey has can be represented by x . Ricky has 3 times as many games as Corey. The total number of games is 64 . What is x, the total number of games Corey has?
Answer:
21.3333333
Step-by-step explanation:
64/3=x
64/3=21.3333333
Sorry if its wrong.
the volume of a cone is 540pi. work out the height of the cone.
Answer:
I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.
Step-by-step explanation:
The formula for a cone is
[tex]\pi \times r {}^{2} \times \frac{h}{3} [/tex]
From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:
[tex]r {}^{2} \times \frac{h}{3} = 540[/tex]
Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:
[tex]r {}^{2} h = 1620[/tex]
Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:
[tex]r \times h = 40.249[/tex]
If I knew the radius. I could get the answer by dividing both sides by the radius.
Good luck!
Encontre o erro em cada uma das resoluções abaixo.
Answer:
I will answer this in English.
a) here you written 208 = (2^6)*3, while in the table you can see 5 times the number 2 and 2 times the number 3, this means that:
208 = 2^5*3^2
then we would have:
√208 = √(2^5*3^2) = 3*2*√2 = 6*√2
b) This time is correct that:
1568 = 2^5*7^2
but the simplification in the square root is not correct. (√(2^5) is not equal to 2^2)
as √(2^5*7^2) = √(2*2^4*7^2) = 2^2*7*√2 = 4*7*√2 = 28*√2
doughnuts are sold in bags and cartons.
A bag holds 4 doughnuts and a carton holds 10 doughnuts.
he buys a total of T doughnuts.
Write down a formula for T in terms of B and c
Answer:
T=(b+4)+(c+10)
Sorry but I really don’t know but I tried
Find the surface area of the prism.
Answer:
78 square ft.
The answer is 75 ft
explanation
12ft x 2.5ft = 30ft
12ft x 2ft = 24ft
12ft x 1.5ft = 18ft
1.5ft x 2ft = 3ft
30 + 24 + 18 + 3 = 75
Will went fishing. On the first cast, he hooked a fish 80 feet from the boat. Each time he reeled in 10 feet of line, the fish would take out 5 feet. How many times did Will have to reel in to get the fish to the boat?
Answer:
he reeled in 16 times
Step-by-step explanation: